From 832811437943dc9ef785945d145af6401906d154 Mon Sep 17 00:00:00 2001 From: Claude Date: Sat, 17 Oct 2026 05:27:03 +0000 Subject: [PATCH] =?UTF-8?q?feat:=20AI=20Hedger=20=E2=80=94=20deep=20hedgin?= =?UTF-8?q?g=20(No-Transaction-Band=20net)=20under=20costs=20and=20jumps?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Numpy-only deep hedging of a short call: a No-Transaction-Band network trained by back-propagation through time and a feed-forward deep hedge, both minimising CVaR, benchmarked out of sample against BS delta and a tuned Whalley-Wilmott band, with regime-shift tests (vol up, crash jumps). Co-Authored-By: Claude Opus 5.5 Claude-Session: https://claude.ai/code/session_01FpiqUMAyo4RL5DdQHMWbwE --- README.md | 1 + backend/app/core/deep_hedge.py | 298 +++++++++++++++++++++++++++ backend/app/main.py | 4 +- backend/app/routers/deephedge.py | 74 +++++++ backend/tests/test_deep_hedge.py | 72 +++++++ frontend/src/api/client.js | 3 + frontend/src/components/AiHedger.jsx | 240 +++++++++++++++++++++ frontend/src/pages/Dashboard.jsx | 2 + screenshots/ai-hedger-btc.png | Bin 0 -> 478842 bytes screenshots/ai-hedger-xau.png | Bin 0 -> 477195 bytes 10 files changed, 692 insertions(+), 2 deletions(-) create mode 100644 backend/app/core/deep_hedge.py create mode 100644 backend/app/routers/deephedge.py create mode 100644 backend/tests/test_deep_hedge.py create mode 100644 frontend/src/components/AiHedger.jsx create mode 100644 screenshots/ai-hedger-btc.png create mode 100644 screenshots/ai-hedger-xau.png diff --git a/README.md b/README.md index a90adb3..b024fb1 100644 --- a/README.md +++ b/README.md @@ -42,6 +42,7 @@ NEXUS TERMINAL is a Bloomberg-style web application for professional forex optio | **Vol Forecast & Regime (AI)** | HAR-RV (weekend-aware for crypto), GJR-GARCH and gradient-boosting forecasts of 1D/1W/1M vol, rolling out-of-sample QLIKE leaderboard with an inverse-QLIKE ensemble, 2-state HMM regime detection, and a forecast-vs-Deribit-implied rich/cheap signal | | **Hedge Lab** | Monte Carlo delta-hedging / gamma-scalping P&L of your portfolio: realised vs implied vol, GBM / Merton jumps / historical block bootstrap, weekend gaps for 24/5 markets, time or delta-band hedging, transaction costs and carry, with Derman-Kamal and Leland benchmarks and a hedge-frequency risk-vs-cost sweep | | **Risk Desk** | Market risk of the portfolio option book with full revaluation on joint spot × implied-vol history (Deribit DVOL, Cboe GVZ / VXSLV, else EWMA proxy): VaR 99% / ES 97.5% (FRTB) by historical, filtered-historical (EWMA-scaled), delta-gamma Cornish-Fisher, Student-t Monte Carlo and delta-normal; 1- and 10-day horizons; stressed window (worst 250 days); rolling backtest with Kupiec / Christoffersen tests and Basel traffic light; spot × vol ladder; worst-day and what-if P&L explain by Greek (Δ, Γ, vega, vanna, volga, θ, unexplained) | +| **AI Hedger** | Deep hedging of a short option under proportional transaction costs and jumps, trained server-side in pure numpy (no GPU, no API key): a No-Transaction-Band network (Imaki et al. 2021, back-propagation through time) and a feed-forward deep hedge (Buehler et al. 2019) minimising CVaR, benchmarked out of sample against BS delta and a tuned Whalley-Wilmott band; regime-shift tests (vol +50%, crash jumps); learned band vs Whalley-Wilmott, P&L distributions, turnover, risk-adjusted price, training curves | | **Cross-Asset Desk** | Gold · silver · BTC · ETH · EURUSD · DXY · US10Y · WTI correlation matrices (30D/90D/1Y/EWMA) with a correlation-break monitor; gold/silver ratio z-scores, OU half-life, Engle-Granger cointegration and Kalman hedge ratio; Margrabe outperformance-option pricer with correlation sensitivity | | **Jump Lab** | Merton and Bates (Heston + jumps, COS pricing) calibrated to every live Deribit BTC/ETH expiry: model-vs-market smiles, fit RMSE, jump intensity/size, jump share of variance, crash-jump odds, 30-day risk-neutral density vs lognormal; manual Merton for metals/FX event and gap risk; one-click hand-off of jump parameters to Hedge Lab | | **Event Vol** | Event & weekend "vol time" term structure: strips FOMC / CPI / NFP variance lumps and the weekend weight out of the ATM curve (live Deribit fit for BTC/ETH; assumptions or pasted broker quotes for XAU/XAG/EUR/any pair), event-implied moves and straddle breakevens, forward vols and calendar-arbitrage flags, fair vol for any expiry incl. 0DTE/1-day, built-in 2026 FOMC/CPI/NFP calendar merged with live Forex Factory events, realised day-of-week / weekend-weight / FOMC-lump study | diff --git a/backend/app/core/deep_hedge.py b/backend/app/core/deep_hedge.py new file mode 100644 index 0000000..c47c6ec --- /dev/null +++ b/backend/app/core/deep_hedge.py @@ -0,0 +1,298 @@ +""" +deep_hedge.py — Deep hedging of a short option under proportional transaction costs and +jumps, trained in pure numpy (no deep-learning framework needed on the server). + +A dealer is short one European option (premium = Black-Scholes price at the hedging vol) +and trades the underlying at proportional cost c. Hedged P&L on a path: + PnL = p0 − payoff(S_T) + Σ_t δ_t (S_{t+1} − S_t) − c Σ_t |δ_t − δ_{t−1}| S_t , δ_{−1} = 0. +The hedge is chosen to minimise the expected shortfall of the loss, CVaR_α(−PnL) +(Buehler, Gonon, Teichmann & Wood 2019, "Deep hedging", Quantitative Finance 19(8)). + +Strategies compared on the same out-of-sample paths + No hedge — δ ≡ 0. + BS delta — rebalance to the Black-Scholes delta every step. + Whalley-Wilmott — asymptotically optimal no-trade band Δ ± (3/2 · c S Γ² / γ)^{1/3} + (Whalley & Wilmott 1997), risk aversion γ tuned on the training set. + Deep NTB — No-Transaction-Band network (Imaki, Imajo, Ito, Minami & Nakagawa 2021, + arXiv:2103.01775): an MLP of (moneyness, time, vol) outputs a band + [Δ − w_l, Δ + w_u]; the position is the previous one clamped to the band. + Trained by back-propagation through time (the clamp makes BPTT a scalar + recursion). + Deep FF — feed-forward deep hedge δ = Δ + MLP(·): no memory of the position, so it + cannot learn a no-trade region — the failure mode reported in recent work. +The network is trained on one market model and can be tested on another (regime fragility). +""" + +import numpy as np +from scipy.stats import norm + + +# ─── market simulation (normalised: S0 = 1) ────────────────────────────────── + +def simulate(n_paths, n_steps, T, sigma, rng, jump=None): + dt = T / n_steps + z = rng.standard_normal((n_paths, n_steps)) + drift = -0.5 * sigma ** 2 * dt + jumps = 0.0 + if jump and jump.get("lambda", 0) > 0: + lam, mj, sj = jump["lambda"], jump["mean"], jump["sd"] + drift -= lam * (np.exp(mj + 0.5 * sj ** 2) - 1) * dt + n = rng.poisson(lam * dt, (n_paths, n_steps)) + jumps = n * mj + np.sqrt(n) * sj * rng.standard_normal((n_paths, n_steps)) + x = np.cumsum(drift + sigma * np.sqrt(dt) * z + jumps, axis=1) + return np.exp(np.c_[np.zeros(n_paths), x]) # (P, N+1), martingale (r = 0) + + +def bs_call(S, K, tau, sigma): + tau = np.maximum(tau, 1e-12) + sq = sigma * np.sqrt(tau) + d1 = (np.log(S / K) + 0.5 * sq ** 2) / sq + return S * norm.cdf(d1) - K * norm.cdf(d1 - sq), norm.cdf(d1), norm.pdf(d1) / (S * sq) + + +def features(S, K, T, sigma, n_steps): + """Per-step inputs (P, N, 3) and BS delta / gamma (P, N) on the hedging dates.""" + tau = T - np.arange(n_steps) * T / n_steps + St = S[:, :-1] + _, delta, gamma = bs_call(St, K, tau[None, :], sigma) + m = np.log(St / K) / (sigma * np.sqrt(T)) + X = np.stack([m, np.broadcast_to(np.sqrt(tau / T), m.shape), np.full_like(m, sigma)], axis=-1) + return X, delta, gamma, tau + + +# ─── P&L and its gradient ──────────────────────────────────────────────────── + +def pnl(S, delta_path, K, cost, p0, is_call=True): + dS = np.diff(S, axis=1) + prev = np.c_[np.zeros(len(S)), delta_path[:, :-1]] + trade = np.abs(delta_path - prev) + pay = np.maximum(S[:, -1] - K, 0) if is_call else np.maximum(K - S[:, -1], 0) + tc = cost * (trade * S[:, :-1]).sum(axis=1) + return p0 - pay + (delta_path * dS).sum(axis=1) - tc, trade.sum(axis=1), tc + + +def _direct_grad(S, d, cost): + """∂PnL/∂δ_t holding the other δ fixed (gains + the two cost terms touching δ_t).""" + dS = np.diff(S, axis=1) + prev = np.c_[np.zeros(len(S)), d[:, :-1]] + nxt = np.c_[d[:, 1:], d[:, -1:]] + g = dS - cost * S[:, :-1] * np.sign(d - prev) + g[:, :-1] += cost * S[:, 1:-1] * np.sign(nxt[:, :-1] - d[:, :-1]) + return g + + +def cvar(loss, alpha): + q = np.quantile(loss, alpha) + tail = loss[loss >= q] + return float(tail.mean()), q + + +# ─── a small MLP with Adam (numpy) ─────────────────────────────────────────── + +class MLP: + def __init__(self, sizes, rng, out_bias=0.0, out_scale=0.1): + self.W, self.b = [], [] + for i, (a, c) in enumerate(zip(sizes[:-1], sizes[1:])): + s = np.sqrt(1 / a) * (out_scale if i == len(sizes) - 2 else 1) + self.W.append(rng.normal(0, s, (a, c))) + self.b.append(np.full(c, out_bias if i == len(sizes) - 2 else 0.0)) + self.m = [np.zeros_like(p) for p in self.W + self.b] + self.v = [np.zeros_like(p) for p in self.W + self.b] + self.k = 0 + + def forward(self, X): + self.acts = [X] + h = X + for i, (W, b) in enumerate(zip(self.W, self.b)): + h = h @ W + b + if i < len(self.W) - 1: + h = np.tanh(h) + self.acts.append(h) + return h + + def backward(self, grad_out): + """grad_out = ∂L/∂output (rows × out). Returns parameter gradients.""" + gW, gb = [None] * len(self.W), [None] * len(self.b) + g = grad_out + for i in reversed(range(len(self.W))): + a_in = self.acts[i] + gW[i] = a_in.T @ g + gb[i] = g.sum(axis=0) + if i > 0: + g = (g @ self.W[i].T) * (1 - self.acts[i] ** 2) + return gW + gb + + def step(self, grads, lr=3e-3, b1=0.9, b2=0.999, eps=1e-8): + self.k += 1 + params = self.W + self.b + for j, (p, g) in enumerate(zip(params, grads)): + self.m[j] = b1 * self.m[j] + (1 - b1) * g + self.v[j] = b2 * self.v[j] + (1 - b2) * g * g + mh = self.m[j] / (1 - b1 ** self.k) + vh = self.v[j] / (1 - b2 ** self.k) + p -= lr * mh / (np.sqrt(vh) + eps) + + +def softplus(z): + return np.logaddexp(0, z) + + +def ntb_positions(net, X, delta): + """Forward pass of the No-Transaction-Band net. Returns positions and what BPTT needs.""" + P, N, _ = X.shape + z = net.forward(X.reshape(-1, 3)).reshape(P, N, 2) + lo = delta - softplus(z[..., 0]) + hi = delta + softplus(z[..., 1]) + d = np.empty((P, N)) + prev = np.zeros(P) + below, above = np.empty((P, N), bool), np.empty((P, N), bool) + for t in range(N): + below[:, t], above[:, t] = prev < lo[:, t], prev > hi[:, t] + prev = np.clip(prev, lo[:, t], hi[:, t]) + d[:, t] = prev + return d, z, below, above + + +def ntb_grad(net, S, X, delta, K, cost, p0, w, fwd=None): + """ + PnL per path and ∂(Σ_p w_p·PnL_p)/∂θ for the NTB net, by back-propagation through time. + G_t = ∂PnL/∂δ_t (total) = g_t + G_{t+1}·1{δ_t inside band_{t+1}}; the clamp passes the + gradient to the lower edge when δ_{t−1} < lo_t and to the upper edge when δ_{t−1} > hi_t. + """ + # fwd: a forward pass already run on X (the net keeps its activations), to avoid a second one. + d, z, below, above = fwd if fwd is not None else ntb_positions(net, X, delta) + pl, _, _ = pnl(S, d, K, cost, p0) + g = _direct_grad(S, d, cost) + n_steps = d.shape[1] + G = np.empty_like(d) + G[:, -1] = g[:, -1] + for t in range(n_steps - 2, -1, -1): + inside = ~(below[:, t + 1] | above[:, t + 1]) + G[:, t] = g[:, t] + G[:, t + 1] * inside + up = G * w[:, None] + sig = lambda v: 1 / (1 + np.exp(-v)) + gz = np.stack([-up * below * sig(z[..., 0]), up * above * sig(z[..., 1])], axis=-1) + return pl, net.backward(gz.reshape(-1, 2)) + + +def train_ntb(S, K, T, sigma, cost, p0, n_steps, alpha=0.95, iters=250, batch=1024, seed=0, hidden=24): + rng = np.random.default_rng(seed) + net = MLP([3, hidden, hidden, 2], rng, out_bias=-3.0) + X, delta, _, _ = features(S, K, T, sigma, n_steps) + hist = [] + for it in range(iters): + idx = rng.choice(len(S), batch, replace=False) + Sb, Xb, Db = S[idx], X[idx], delta[idx] + fwd = ntb_positions(net, Xb, Db) + loss = -pnl(Sb, fwd[0], K, cost, p0)[0] + cv, q = cvar(loss, alpha) + hist.append(cv) + w = -(loss >= q).astype(float) / max((loss >= q).sum(), 1) # ∂CVaR/∂PnL (tail average) + _, grads = ntb_grad(net, Sb, Xb, Db, K, cost, p0, w, fwd) + net.step(grads) + return net, hist + + +def train_ff(S, K, T, sigma, cost, p0, n_steps, alpha=0.95, iters=250, batch=1024, seed=1, hidden=24): + rng = np.random.default_rng(seed) + net = MLP([3, hidden, hidden, 1], rng) + X, delta, _, _ = features(S, K, T, sigma, n_steps) + hist = [] + for it in range(iters): + idx = rng.choice(len(S), batch, replace=False) + Sb, Xb, Db = S[idx], X[idx], delta[idx] + d = Db + net.forward(Xb.reshape(-1, 3)).reshape(batch, n_steps) + pl, _, _ = pnl(Sb, d, K, cost, p0) + loss = -pl + cv, q = cvar(loss, alpha) + hist.append(cv) + dL_dpnl = -(loss >= q).astype(float) / max((loss >= q).sum(), 1) + up = _direct_grad(Sb, d, cost) * dL_dpnl[:, None] + net.step(net.backward(up.reshape(-1, 1))) + return net, hist + + +def ww_positions(delta, gamma, S, cost, gamma_ra, tau): + """Whalley-Wilmott band hedge: move to the nearest band edge only when outside it.""" + h = (1.5 * cost * S[:, :-1] * gamma ** 2 / max(gamma_ra, 1e-12)) ** (1 / 3) + P, N = delta.shape + d = np.empty((P, N)) + prev = np.zeros(P) + for t in range(N): + prev = np.clip(prev, delta[:, t] - h[:, t], delta[:, t] + h[:, t]) + d[:, t] = prev + return d + + +# ─── report ────────────────────────────────────────────────────────────────── + +def _summ(pl, turnover, tc, alpha): + loss = -pl + cv, q = cvar(loss, alpha) + return {"mean": float(pl.mean()), "std": float(pl.std()), "cvar": cv, "var": float(q), + "var_99": float(np.quantile(loss, 0.99)), "turnover": float(turnover.mean()), + "cost": float(tc.mean()), "risk_price": None} + + +def deep_hedge_report(S0, K, T, sigma, cost_bps, n_steps=30, alpha=0.95, jump=None, test_jump="same", + test_sigma=None, n_train=10000, n_test=8000, iters=250, seed=7, is_call=True): + """Train on (sigma, jump); test out of sample on the same or a shifted regime.""" + k = K / S0 + cost = cost_bps / 1e4 + rng = np.random.default_rng(seed) + S_tr = simulate(n_train, n_steps, T, sigma, rng, jump) + tj = jump if test_jump == "same" else test_jump + ts = test_sigma or sigma + S_te = simulate(n_test, n_steps, T, ts, rng, tj) + p0 = float(bs_call(1.0, k, T, sigma)[0]) + + ntb, h_ntb = train_ntb(S_tr, k, T, sigma, cost, p0, n_steps, alpha, iters) + ff, h_ff = train_ff(S_tr, k, T, sigma, cost, p0, n_steps, alpha, iters) + + # Tune Whalley-Wilmott risk aversion on the training paths (same objective). + Xtr, Dtr, Gtr, tau = features(S_tr, k, T, sigma, n_steps) + best = None + for g in np.geomspace(0.1, 1e6, 36): + c_ = cvar(-pnl(S_tr, ww_positions(Dtr, Gtr, S_tr, cost, g, tau), k, cost, p0)[0], alpha)[0] + if best is None or c_ < best[0]: + best = (c_, g) + gamma_ra = best[1] + + X, D, G, tau = features(S_te, k, T, sigma, n_steps) + pos = {"No hedge": np.zeros_like(D), "BS delta": D, + "Whalley-Wilmott": ww_positions(D, G, S_te, cost, gamma_ra, tau), + "Deep NTB": ntb_positions(ntb, X, D)[0], + "Deep FF": D + ff.forward(X.reshape(-1, 3)).reshape(D.shape)} + rows = {} + pls = {} + for name, d in pos.items(): + pl, to, tc = pnl(S_te, d, k, cost, p0) + pls[name] = pl + rows[name] = _summ(pl * S0, to, tc * S0, alpha) + rows[name]["risk_price"] = float(p0 * S0 + rows[name]["cvar"]) # premium making CVaR = 0 + # Learned band vs Whalley-Wilmott on a moneyness grid at a few times to expiry. + grid_m = np.linspace(-2.0, 2.0, 61) + bands = [] + for frac in (1.0, 0.5, 0.15): + tt = T * frac + Sg = k * np.exp(grid_m * sigma * np.sqrt(T)) + _, dg, gg = bs_call(Sg, k, tt, sigma) + Xg = np.stack([grid_m, np.full_like(grid_m, np.sqrt(frac)), np.full_like(grid_m, sigma)], axis=-1) + z = ntb.forward(Xg) + hw = (1.5 * cost * Sg * gg ** 2 / gamma_ra) ** (1 / 3) + bands.append({"tau_frac": frac, "spot": (Sg * S0).tolist(), "delta": dg.tolist(), + "ntb_lo": (dg - softplus(z[:, 0])).tolist(), "ntb_hi": (dg + softplus(z[:, 1])).tolist(), + "ww_lo": (dg - hw).tolist(), "ww_hi": (dg + hw).tolist()}) + i = int(np.argsort(np.abs(S_te[:, -1] - k))[len(S_te) // 50]) # a path ending near the strike + sample = {"t": (np.arange(n_steps) * T / n_steps * 365).tolist(), "spot": (S_te[i, :-1] * S0).tolist(), + "positions": {n: d[i].tolist() for n, d in pos.items() if n != "No hedge"}} + lo = min(np.quantile(p, 0.005) for p in pls.values()) * S0 + hi = max(np.quantile(p, 0.995) for p in pls.values()) * S0 + edges = np.linspace(lo, hi, 51) + hists = {n: np.histogram(np.clip(p * S0, lo, hi), bins=edges)[0].tolist() for n, p in pls.items() if n != "No hedge"} + return {"premium": p0 * S0, "alpha": alpha, "cost_bps": cost_bps, "n_steps": n_steps, + "gamma_ra": gamma_ra, "strategies": rows, "bands": bands, "sample": sample, + "pnl_hist": {"centers": (0.5 * (edges[1:] + edges[:-1])).tolist(), "counts": hists}, + "training": {"ntb": [h * S0 for h in h_ntb], "ff": [h * S0 for h in h_ff]}, + "train_regime": {"sigma": sigma, "jump": jump}, + "test_regime": {"sigma": ts, "jump": tj}} diff --git a/backend/app/main.py b/backend/app/main.py index 284ac09..1f7e35f 100644 --- a/backend/app/main.py +++ b/backend/app/main.py @@ -1,6 +1,6 @@ from fastapi import FastAPI from fastapi.middleware.cors import CORSMiddleware -from .routers import greeks, surface, market, montecarlo, scenarios, strategies, export, forex, institutional, news, livedata, smile, vol, hedge, xasset, jumps, exotics, eventvol, risk, tarf +from .routers import greeks, surface, market, montecarlo, scenarios, strategies, export, forex, institutional, news, livedata, smile, vol, hedge, xasset, jumps, exotics, eventvol, risk, tarf, deephedge app = FastAPI(title="QuantRisk FX Terminal API", description="Forex options risk analytics — Garman-Kohlhagen model.", @@ -9,7 +9,7 @@ app = FastAPI(title="QuantRisk FX Terminal API", app.add_middleware(CORSMiddleware, allow_origins=["*"], allow_credentials=True, allow_methods=["*"], allow_headers=["*"]) -for router in [greeks, surface, market, montecarlo, scenarios, strategies, export, forex, institutional, news, livedata, smile, vol, hedge, xasset, jumps, exotics, eventvol, risk, tarf]: +for router in [greeks, surface, market, montecarlo, scenarios, strategies, export, forex, institutional, news, livedata, smile, vol, hedge, xasset, jumps, exotics, eventvol, risk, tarf, deephedge]: app.include_router(router.router, prefix="/api") @app.get("/") diff --git a/backend/app/routers/deephedge.py b/backend/app/routers/deephedge.py new file mode 100644 index 0000000..88148eb --- /dev/null +++ b/backend/app/routers/deephedge.py @@ -0,0 +1,74 @@ +""" +deephedge.py — AI Hedger: trains a No-Transaction-Band deep-hedging network and a +feed-forward deep hedge (numpy, no API keys, no GPU) for a short call on any pair, and +compares them with BS delta and Whalley-Wilmott out of sample, optionally under a shifted +test regime (vol shock or jumps). +""" + +import numpy as np +from fastapi import APIRouter, HTTPException +from pydantic import BaseModel, Field + +from ..core.deep_hedge import deep_hedge_report +from .forex import PAIRS + +router = APIRouter(prefix="/deephedge", tags=["deephedge"]) +_cache: dict = {} + + +class Jump(BaseModel): + intensity: float = Field(default=0.0, ge=0, le=100, description="Jumps per year") + mean: float = Field(default=0.0, gt=-0.5, lt=0.5, description="Mean log jump") + sd: float = Field(default=0.0, ge=0, lt=0.5) + + +class DeepHedgeRequest(BaseModel): + pair: str = "BTCUSD" + S: float = Field(..., gt=0) + strike_pct: float = Field(default=100.0, gt=50, lt=200) + days: float = Field(default=30.0, ge=2, le=180) + sigma: float = Field(..., gt=0.02, lt=2.5) + cost_bps: float = Field(default=10.0, ge=0, le=200, description="Proportional cost per trade") + n_steps: int = Field(default=30, ge=5, le=60) + alpha: float = Field(default=0.95, ge=0.5, le=0.995) + jump: Jump = Jump() + test_regime: str = Field(default="same", pattern="^(same|vol_up|jumps)$") + + +@router.post("/train") +def train(req: DeepHedgeRequest): + pair = req.pair.upper() + if pair not in PAIRS: + raise HTTPException(404, f"Unknown pair '{pair}'.") + key = req.model_dump_json() + if key in _cache: + return _cache[key] + jump = {"lambda": req.jump.intensity, "mean": req.jump.mean, "sd": req.jump.sd} if req.jump.intensity > 0 else None + test_jump, test_sigma = "same", None + if req.test_regime == "vol_up": + test_sigma = req.sigma * 1.5 + elif req.test_regime == "jumps": + test_jump = {"lambda": 12.0, "mean": -0.05, "sd": 0.06} + T = req.days / 365 + rep = deep_hedge_report(req.S, req.S * req.strike_pct / 100, T, req.sigma, req.cost_bps, req.n_steps, + req.alpha, jump=jump, test_jump=test_jump, test_sigma=test_sigma) + out = _clean({"pair": pair, "strike": req.S * req.strike_pct / 100, "days": req.days, + "test_regime_label": {"same": "Same as training", "vol_up": "Vol +50%", + "jumps": "Crash jumps (12/yr, −5%)"}[req.test_regime], **rep}) + if len(_cache) > 32: + _cache.clear() + _cache[key] = out + return out + + +def _clean(obj): + if isinstance(obj, (bool, np.bool_)): + return bool(obj) + if isinstance(obj, (float, np.floating)): + x = float(obj) + return round(x, 8) if np.isfinite(x) else None + if isinstance(obj, dict): + return {str(k): _clean(v) for k, v in obj.items()} + if isinstance(obj, (list, tuple, np.ndarray)): + return [_clean(v) for v in obj] + return obj diff --git a/backend/tests/test_deep_hedge.py b/backend/tests/test_deep_hedge.py new file mode 100644 index 0000000..075748c --- /dev/null +++ b/backend/tests/test_deep_hedge.py @@ -0,0 +1,72 @@ +"""AI Hedger: BPTT gradient check, P&L identities, learning beats BS delta under costs, endpoint.""" + +import numpy as np +import pytest +from fastapi.testclient import TestClient + +from app.core.deep_hedge import (MLP, bs_call, cvar, deep_hedge_report, features, ntb_grad, ntb_positions, + pnl, simulate, ww_positions) +from app.main import app + +client = TestClient(app) + + +def test_ntb_bptt_gradient_matches_finite_differences(): + rng = np.random.default_rng(0) + S = simulate(64, 10, 0.1, 0.5, rng) + X, D, _, _ = features(S, 1.0, 0.1, 0.5, 10) + p0 = float(bs_call(1.0, 1.0, 0.1, 0.5)[0]) + net = MLP([3, 8, 8, 2], np.random.default_rng(1), out_bias=-1.0, out_scale=1.0) + w = -np.ones(64) / 64 + + def f(): + return float((w * pnl(S, ntb_positions(net, X, D)[0], 1.0, 0.002, p0)[0]).sum()) + + _, grads = ntb_grad(net, S, X, D, 1.0, 0.002, p0, w) + for li, (i, j) in [(0, (0, 0)), (1, (2, 3)), (2, (4, 1)), (2, (5, 0))]: + W, e = net.W[li], 1e-6 + old = W[i, j] + W[i, j] = old + e + fp = f() + W[i, j] = old - e + fm = f() + W[i, j] = old + assert grads[li][i, j] == pytest.approx((fp - fm) / (2 * e), rel=1e-5, abs=1e-12) + + +def test_pnl_identities(): + rng = np.random.default_rng(3) + S = simulate(20000, 50, 0.25, 0.2, rng) + assert S[:, -1].mean() == pytest.approx(1.0, abs=0.01) # martingale + p0 = float(bs_call(1.0, 1.0, 0.25, 0.2)[0]) + _, D, G, tau = features(S, 1.0, 0.25, 0.2, 50) + pl, to, tc = pnl(S, D, 1.0, 0.0, p0) + assert abs(pl.mean()) < 0.002 and pl.std() < 0.2 * p0 # discrete delta hedge ≈ replicates + unhedged = pnl(S, np.zeros_like(D), 1.0, 0.0, p0)[0] + assert unhedged.std() > 5 * pl.std() + ww = ww_positions(D, G, S, 0.002, 1e13, tau) # huge risk aversion → band → 0 + assert np.allclose(ww, D, atol=1e-3) + assert pnl(S, D, 1.0, 0.002, p0)[2].mean() == pytest.approx(0.002 * (to * 1.0).mean(), rel=0.05) + + +def test_deep_hedgers_beat_bs_delta_under_costs(): + rep = deep_hedge_report(62000, 62000, 30 / 365, 0.6, cost_bps=20, n_steps=20, n_train=6000, n_test=6000, + iters=200) + s = rep["strategies"] + assert s["Deep NTB"]["cvar"] < s["BS delta"]["cvar"] + assert s["Deep NTB"]["turnover"] < s["BS delta"]["turnover"] # learns to trade less + assert s["No hedge"]["cvar"] > 5 * s["BS delta"]["cvar"] + assert rep["training"]["ntb"][0] > np.mean(rep["training"]["ntb"][-20:]) # loss decreases + for b in rep["bands"]: + assert all(lo <= d <= hi for lo, d, hi in zip(b["ntb_lo"], b["delta"], b["ntb_hi"])) + + +def test_endpoint(): + body = {"pair": "XAUUSD", "S": 4400, "sigma": 0.2, "days": 20, "cost_bps": 15, "n_steps": 10, + "test_regime": "jumps"} + r = client.post("/api/deephedge/train", json=body) + assert r.status_code == 200, r.text + js = r.json() + assert set(js["strategies"]) == {"No hedge", "BS delta", "Whalley-Wilmott", "Deep NTB", "Deep FF"} + assert js["test_regime"]["jump"]["lambda"] == 12.0 and len(js["bands"]) == 3 + assert client.post("/api/deephedge/train", json={**body, "pair": "NOPE"}).status_code == 404 diff --git a/frontend/src/api/client.js b/frontend/src/api/client.js index 60adbe0..b80e65f 100644 --- a/frontend/src/api/client.js +++ b/frontend/src/api/client.js @@ -63,3 +63,6 @@ export const explainPnl = (p) => api.post('/risk/explain', p).then(r=>r.data) // TARF Desk export const priceTarf = (p) => api.post('/tarf/price', p).then(r=>r.data) + +// AI Hedger (deep hedging) +export const trainDeepHedge = (p) => api.post('/deephedge/train', p, { timeout: 120000 }).then(r=>r.data) diff --git a/frontend/src/components/AiHedger.jsx b/frontend/src/components/AiHedger.jsx new file mode 100644 index 0000000..59743d8 --- /dev/null +++ b/frontend/src/components/AiHedger.jsx @@ -0,0 +1,240 @@ +import { useState } from 'react' +import _Plot from 'react-plotly.js' +const Plot = _Plot?.default ?? _Plot +import { usePortfolioStore, isCrypto, PAIR_META } from '../store/portfolio' +import { trainDeepHedge } from '../api/client' + +const LAYOUT = { + paper_bgcolor:'transparent', plot_bgcolor:'#080d18', + font:{ color:'#94a3b8', size:11 }, + margin:{ l:56, r:16, t:12, b:42 }, + legend:{ bgcolor:'transparent', font:{ size:9 }, orientation:'h', x:0, y:-0.22 }, + hoverlabel:{ bgcolor:'#0f172a', font:{ color:'#e2e8f0' }, bordercolor:'rgba(0,212,255,0.15)' }, +} +const CFG = { responsive:true, displayModeBar:false } +const axis = (title, extra = {}) => ({ title:{ text:title }, gridcolor:'#1e293b', color:'#475569', zeroline:false, ...extra }) +const num = (v, d = 2) => (v == null ? '—' : Number(v).toLocaleString(undefined, { minimumFractionDigits:d, maximumFractionDigits:d })) +// Exponential moving average for noisy minibatch losses. +const ema = (xs, a = 0.1) => { let m = xs[0]; return xs.map(x => (m = a * x + (1 - a) * m)) } +const COLOR = { 'No hedge':'#475569', 'BS delta':'#94a3b8', 'Whalley-Wilmott':'#ffd700', 'Deep NTB':'#00d4ff', 'Deep FF':'#c084fc' } +const NOTE = { + 'No hedge':'Naked short option', + 'BS delta':'Rebalance to Black-Scholes delta every step', + 'Whalley-Wilmott':'Analytic no-trade band, risk aversion tuned on training paths', + 'Deep NTB':'No-Transaction-Band network (Imaki et al. 2021) — learns its own band', + 'Deep FF':'Feed-forward deep hedge (Buehler et al. 2019) — no memory of position', +} + +function Card({ title, right, children }) { + return ( +
+
+ {title}{right} +
+ {children} +
+ ) +} + +function Kpis({ items }) { + return ( +
+ {items.map(k => ( +
+
{k.label}
+
{k.value}
+ {k.sub &&
{k.sub}
} +
+ ))} +
+ ) +} + +const inputStyle = { background:'var(--bg3)', border:'1px solid var(--border)', borderRadius:4, color:'var(--cyan)', fontSize:11, + padding:'4px 6px', fontFamily:'var(--font-mono)', width:'100%' } + +function Field({ label, value, onChange, step, hint }) { + return ( + + ) +} + +export default function AiHedger() { + const { pair } = usePortfolioStore() + return +} + +function Hedger({ pair }) { + const { S, sigma, hedgeJump } = usePortfolioStore() + const crypto = isCrypto(pair) + const dp = PAIR_META[pair]?.dp ?? 4 + const [p, setP] = useState(() => ({ + strike_pct:100, days:30, sigma:+(sigma * 100).toFixed(1), cost_bps: crypto ? 10 : 5, n_steps:30, alpha:95, + jumps: !!hedgeJump || crypto, + jump: hedgeJump ?? (crypto ? { intensity:12, mean:-1, sd:5 } : { intensity:2, mean:-3, sd:4 }), test_regime:'same', + })) + const [res, setRes] = useState({ data:null, error:null, busy:false }) + const [bandIdx, setBandIdx] = useState(1) + const set = (k) => (v) => setP(q => ({ ...q, [k]: v })) + const setJ = (k) => (v) => setP(q => ({ ...q, jump:{ ...q.jump, [k]: v } })) + + const train = () => { + setRes(r => ({ ...r, busy:true, error:null })) + trainDeepHedge({ pair, S, strike_pct:p.strike_pct, days:p.days, sigma:p.sigma / 100, cost_bps:p.cost_bps, n_steps:p.n_steps, + alpha:p.alpha / 100, test_regime:p.test_regime, + jump: p.jumps ? { intensity:p.jump.intensity, mean:p.jump.mean / 100, sd:p.jump.sd / 100 } : { intensity:0, mean:0, sd:0 } }) + .then(data => setRes({ data, error:null, busy:false })) + .catch(e => setRes({ data:null, error: e?.response?.data?.detail?.toString() ?? 'Training failed — is the backend up?', busy:false })) + } + + const d = res.data + const s = d?.strategies + const gain = s ? 1 - s['Deep NTB'].cvar / s['BS delta'].cvar : null + const turn = s ? 1 - s['Deep NTB'].turnover / s['BS delta'].turnover : null + const band = d?.bands?.[bandIdx] + + return ( +
+
+
AI Hedger — deep hedging under transaction costs & jumps ({pair})
+
+ Trains a neural hedging policy on simulated paths (in-browser request, server-side numpy — no GPU, no API key) and benchmarks it + against BS delta and the Whalley-Wilmott band on fresh paths +
+
+
+
+ + + + + + + + {p.jumps && <> + + + + } + + +
+
+ The desk is short 1 call (premium = BS price) and minimises CVaR {p.alpha}% of the hedged loss. ≈ 5–10 s: 10k training paths, + 250 Adam steps per network. {hedgeJump ? 'Jump parameters pre-filled from Jump Lab.' : ''} +
+
+ {res.error &&
{res.error}
} + {!d && !res.busy && !res.error &&
Set the trade and costs, then train.
} + {d && ( +
+ 0 ? 'var(--green)' : 'var(--red)', sub:`${gain >= 0 ? '−' : '+'}${Math.abs(gain * 100).toFixed(1)}% tail risk vs delta` }, + { label:'Turnover vs delta', value:`${turn >= 0 ? '−' : '+'}${Math.abs(turn * 100).toFixed(0)}%`, color:'#ffd700', + sub:`${s['Deep NTB'].turnover.toFixed(2)} vs ${s['BS delta'].turnover.toFixed(2)} units` }, + { label:'Risk-adjusted price (NTB)', value:num(s['Deep NTB'].risk_price, dp), + sub:`delta hedge needs ${num(s['BS delta'].risk_price, dp)}`, hint:'Premium at which the hedged CVaR is zero — what you must charge' }, + { label:'Test market', value:d.test_regime_label, color: d.test_regime_label.startsWith('Same') ? 'var(--cyan)' : '#fb923c' }, + ]} /> + +
+ setBandIdx(+e.target.value)} style={{ ...inputStyle, width:'auto', fontSize:9 }}> + {d.bands.map((b, i) => )}}> + +
+ Inside the band the AI holds its position; it only trades to the nearest edge. Widest where gamma is high and costs bite — what a desk does by feel. +
+
+ + ({ x:d.pnl_hist.centers, y:c, type:'scatter', mode:'lines', + name:n, line:{ color:COLOR[n], width: n.startsWith('Deep') ? 2.2 : 1.3, shape:'spline' } }))} + layout={{ ...LAYOUT, hovermode:'x unified', xaxis:axis(`Hedged P&L (${pair.slice(3)})`), yaxis:axis('Paths') }} + config={CFG} style={{ width:'100%', height:300 }} /> + + + ({ x:d.sample.t, y, type:'scatter', mode:'lines', name:n, + line:{ color:COLOR[n], width: n.startsWith('Deep') ? 2 : 1.2, shape:'hv' } })), + { x:d.sample.t, y:d.sample.spot, type:'scatter', mode:'lines', name:'Spot (rhs)', yaxis:'y2', line:{ color:'rgba(255,255,255,0.25)', width:1 } }, + ]} + layout={{ ...LAYOUT, hovermode:'x unified', xaxis:axis('Day'), yaxis:axis('Units'), + yaxis2:{ overlaying:'y', side:'right', showgrid:false, zeroline:false, color:'#475569' } }} + config={CFG} style={{ width:'100%', height:300 }} /> + + + + +
+
+ Buehler, Gonon, Teichmann & Wood (2019) "Deep hedging"; Imaki et al. (2021) "No-transaction band network"; + Whalley & Wilmott (1997). CVaR minimised by its tail-average gradient (Rockafellar-Uryasev); NTB trained by back-propagation through time + (gradient-checked against finite differences). Zero rates; costs on every trade incl. the initial hedge; no unwind at expiry (physical settlement). +
+
+ )} +
+ ) +} + +function StrategyTable({ s, dp, alpha }) { + const cols = [['mean', 'Mean P&L'], ['std', 'Std'], ['cvar', `CVaR ${Math.round(alpha * 100)}%`], ['var_99', 'VaR 99%'], + ['turnover', 'Turnover'], ['cost', 'Cost paid'], ['risk_price', 'Risk-adj. price']] + const best = Math.min(...Object.values(s).map(v => v.cvar)) + return ( + +
+ + + + {cols.map(([, l]) => )} + {Object.entries(s).map(([n, v]) => ( + + + {cols.map(([k]) => )} + ))} +
Strategy{l}
{n} +
{NOTE[n]}
+ {k === 'turnover' ? v[k].toFixed(2) : num(v[k], dp)}
+
+
+ ) +} diff --git a/frontend/src/pages/Dashboard.jsx b/frontend/src/pages/Dashboard.jsx index 91a34a8..00c70ea 100644 --- a/frontend/src/pages/Dashboard.jsx +++ b/frontend/src/pages/Dashboard.jsx @@ -18,6 +18,7 @@ import ExoticsDesk from '../components/ExoticsDesk' import EventVol from '../components/EventVol' import RiskDesk from '../components/RiskDesk' import TarfDesk from '../components/TarfDesk' +import AiHedger from '../components/AiHedger' const IVSurface = lazy(() => import('../components/IVSurface')) const WorldMap = lazy(() => import('../components/WorldMap')) @@ -53,6 +54,7 @@ const TABS = [ { id:'eventvol', icon:'📆', label:'Event Vol', component: EventVol }, { id:'hedgelab', icon:'⚖', label:'Hedge Lab', component: HedgeLab }, { id:'risk', icon:'🛡', label:'Risk Desk', component: RiskDesk }, + { id:'aihedger', icon:'🧠', label:'AI Hedger', component: AiHedger }, { id:'jumps', icon:'⚡', label:'Jump Lab', component: JumpLab }, { id:'exotics', icon:'🧩', label:'Exotics Desk', component: ExoticsDesk }, { id:'tarf', icon:'🎯', label:'TARF Desk', component: TarfDesk }, diff --git a/screenshots/ai-hedger-btc.png b/screenshots/ai-hedger-btc.png new file mode 100644 index 0000000000000000000000000000000000000000..b568a9f818bb7e20b1d8c7b6eb29439cfd9c41d5 GIT binary patch literal 478842 zcmZ6SV{~2L_OR2&c4OPgiR}~Hwrw_U%oC?UV>Y&Jr?H(hMq|9W9P`cO`8c4iBb0r}eJ22&${j7NXN00<>)W>T2>0dYw;o}GVR?Ms1MCHa zlZK8hv!e86qrr2ll3Au?IMrY4q9>j|nG&y87ip8TrM;E;`S~FWGOfF@^xsWkg9p_5MSz{333XzxYkLZ=4| z|L`J%0r(4L?u+MH4d)b?g{4n`^8)s>%dRNqbbI+@mkfpl6B1wntitMkFggo3lOcVu zL3YRhM4=_h=IXKkx+YAf7fd%DQoA^m6Fo$y0073xij54KwF<>1s@MYY;FNo~dSLqY z+&PUB-E^Ijdlq{T%a;2F8~Iu)pq;=5;=jivb~_*%u+&K>S&X8P_D18riNo1*4MMPq zIv($prNzb@B)Cafsy;4htXS$utLrr!F<01L*J0lA+W}YrNv9xs8OezMb2tKbF^_0O zw`+&NuzbZuI;~U@K<2_m--Alj!~yN9!@{%o)JD54 zYlM_zU?E&Lh`k(b2pqB^*|5#3#?XlY|2evGLR06cgHd|5#Oj?|MjkXxZ+Kt(Uclmv1a$;d+Bj^@Z7N|0x-eL{_{34%+si2^#PBD{SG;l7;Z zF&@xgkY^c+m!Vv%>(I@mDf<*}U2^j;EGDA?4Fe-^`1!xRq;*}5#{fnE9NB 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